I can't find the solution how can i fix this?

i=0;
while(1)
    xr(1+i) = xr(i)-((exp(-i)-i)/(-exp(-i)-1));
    if abs((xr(i+1)-(xr(i))/(xr(i+1)))<=10^(-4));
        break
    else
        i=i+1;
    end
end

Answer 1

[Matt J]

You need to distinguish better between the roles of the index i and of the values xr(i) in the code.

clear xr 
i=1; xr(1)=0;  %initialize


while(1)
    
    a=xr(i);  %current point
    
    b = a-((exp(-a)-a)/(-exp(-a)-1));  %next point
    
    xr(i+1)=b;  %store
    
    if abs(b-a) <= 10^(-4)*abs(b); %test tolerance
        break
    else
        i=i+1;
    end
end